-42=7(v+6)

Solution for -42=7(v+6) equation:

Simplifying
-42 = 7(v + 6)

Reorder the terms:
-42 = 7(6 + v)
-42 = (6 * 7 + v * 7)
-42 = (42 + 7v)

Solving
-42 = 42 + 7v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-7v' to each side of the equation.
-42 + -7v = 42 + 7v + -7v

Combine like terms: 7v + -7v = 0
-42 + -7v = 42 + 0
-42 + -7v = 42

Add '42' to each side of the equation.
-42 + 42 + -7v = 42 + 42

Combine like terms: -42 + 42 = 0
0 + -7v = 42 + 42
-7v = 42 + 42

Combine like terms: 42 + 42 = 84
-7v = 84

Divide each side by '-7'.
v = -12

Simplifying
v = -12